Fixed points of a pair of locally contractive mappings in ordered partial metric spaces

Abdullah Shoaib, Muhammad Arshad, Akbar Azam

Common fixed point results for mappings satisfying locally contractive conditions on a closed ball in a $0$-complete ordered partial metric space have been established. The notion of dominated mappings of Economics, Finance, Trade and Industry has also been applied to approximate the unique solution to non-linear functional equations. Our results improve some well-known, primary and conventional results.